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Finding the Third Proportional to 43,338 and 56,610

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Solution

The third proportional to 43,338 and 56,610 is: 73,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,338 : 56,610 = 56,610 : x
  2. Step 2: Convert to fraction form
    43,338/56,610 = 56,610/x
  3. Step 3: Cross multiply
    43,338x = 56,610 × 56,610
  4. Step 4: Simplify right side
    43,338x = 3,204,692,100
  5. Step 5: Solve for x
    x = 3,204,692,100/43,338
  6. Step 6: Final answer
    x = 73,946.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.